480400008800 has 72 divisors (see below), whose sum is σ = 1175109069456. Its totient is φ = 191777815040.

The previous prime is 480400008763. The next prime is 480400008821. The reversal of 480400008800 is 8800004084.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 194519 + ... + 999318.

It is an arithmetic number, because the mean of its divisors is an integer number (16320959298).

Almost surely, 2^480400008800 is an apocalyptic number.

480400008800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480400008800 is an abundant number, since it is smaller than the sum of its proper divisors (694709060656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

480400008800 is a wasteful number, since it uses less digits than its factorization.

480400008800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194360 (or 1194347 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The spelling of 480400008800 in words is "four hundred eighty billion, four hundred million, eight thousand, eight hundred".